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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 595 · 40 sums
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The method (Know the totals): Acute < 90°, right = 90°, obtuse between 90° and 180°, straight = 180°, reflex between 180° and 360°. Angles on a straight line add up to 180°; angles around a point add up to 360°. Each hour mark on a clock is 30° apart (360° ÷ 12). Turning clockwise from North: 90° → East, 180° → South, 270° → West.

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  1. 1.Three angles together make a straight line. Two of them are 80° and 55°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 80°, 80° and 60°. What is the fourth angle (in degrees)?
  3. 3.An angle measures 65°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  4. 4.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  5. 5.An angle measures 25°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  6. 6.Four angles meet at a point. Three of them are 60°, 90° and 50°. What is the fourth angle (in degrees)?
  7. 7.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  8. 8.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  9. 9.Four angles meet at a point. Three of them are 30°, 80° and 50°. What is the fourth angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 85° and 30°. What is the third angle (in degrees)?
  11. 11.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  12. 12.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  13. 13.Three angles together make a straight line. Two of them are 85° and 85°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  15. 15.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  16. 16.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  17. 17.An angle measures 100°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  18. 18.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  19. 19.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  21. 21.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 80° and 45°. What is the third angle (in degrees)?
  23. 23.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 100°, 60° and 150°. What is the fourth angle (in degrees)?
  25. 25.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  26. 26.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 45° and 30°. What is the third angle (in degrees)?
  28. 28.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  29. 29.An angle measures 335°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  30. 30.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  31. 31.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  32. 32.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  33. 33.Three angles together make a straight line. Two of them are 50° and 65°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  36. 36.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  37. 37.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  38. 38.An angle measures 185°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  39. 39.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?

Answer key

  1. 45
  2. 140
  3. Acute
  4. South
  5. Acute
  6. 160
  7. 30
  8. West
  9. 200
  10. 65
  11. 45
  12. South
  13. 10
  14. 180
  15. 30
  16. 30
  17. Obtuse
  18. North
  19. 60
  20. Right
  21. 90
  22. 55
  23. 45
  24. 50
  25. Straight
  26. 30
  27. 105
  28. South
  29. Reflex
  30. 20
  31. West
  32. North
  33. 65
  34. 330
  35. 90
  36. East
  37. 180
  38. Reflex
  39. 90
  40. 60

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